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Finding the Fourth Proportional to 5,706.05, 8,550.97 and 2,578.23

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Solution

The fourth proportional to 5,706.05, 8,550.97 and 2,578.23 is: 3,863.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.05 : 8,550.97 = 2,578.23 : x
  2. Step 2: Convert to fraction form
    5,706.05/8,550.97 = 2,578.23/x
  3. Step 3: Cross multiply
    5,706.05x = 8,550.97 × 2,578.23
  4. Step 4: Simplify right side
    5,706.05x = 22,046,360.94
  5. Step 5: Solve for x
    x = 22,046,360.94/5,706.05
  6. Step 6: Final answer
    x = 3,863.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.